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Finding the Third Proportional to 689,590,778 and 1,532,236,565

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Solution

The third proportional to 689,590,778 and 1,532,236,565 is: 3,404,553,781.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,590,778 : 1,532,236,565 = 1,532,236,565 : x
  2. Step 2: Convert to fraction form
    689,590,778/1,532,236,565 = 1,532,236,565/x
  3. Step 3: Cross multiply
    689,590,778x = 1,532,236,565 × 1,532,236,565
  4. Step 4: Simplify right side
    689,590,778x = 2,347,748,891,122,999,296
  5. Step 5: Solve for x
    x = 2,347,748,891,122,999,296/689,590,778
  6. Step 6: Final answer
    x = 3,404,553,781.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.